Section 3.6 The Chain Rule

Text for Section 3.6 The Chain Rule

Learning Objectives

• State the chain rule for the composition of two functions.
• Apply the chain rule together with the power rule.
• Apply the chain rule and the product/quotient rules correctly in combination when both are necessary.
• Recognize the chain rule for a composition of three or more functions.
• Describe the proof of the chain rule

• An Graphical Approach to the Chain Rule
• The Chain Rule: Part 1 of 2
• The Chain Rule: Part 2 of 2
• Proof - The Chain Rule of Differentiation
• Ex: Derivatives Using the Chain Rule - Quadratic Raised to a Power
• Ex: Derivatives Using the Chain Rule - Negative Exponent
• Ex: Determine a Derivative using The Chain Rule
• Ex: Derivatives Using the Chain Rule Involving a Trigonometric Functions
• Ex: Determine a Derivative Using the Chain Rule and Product Rule
• Ex: Derivative using the Product Rule and Chain Rule -- Product of Polynomials to Powers
• Ex: Determine a Derivative Using the Chain Rule and Quotient Rule
• Ex: Derivative Using the Chain Rule Twice - Trig Function Raised to Power